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2034311240 = 235134498713
BaseRepresentation
bin111100101000001…
…0010000001001000
312020202220201101202
41321100102001020
513131240424430
6533510203332
7101261234363
oct17120220110
95222821352
102034311240
11954352165
12489353548
132655cb780
1415426b0da
15bd8ddd45
hex79412048

2034311240 has 64 divisors (see below), whose sum is σ = 4940838000. Its totient is φ = 749371392.

The previous prime is 2034311203. The next prime is 2034311249. The reversal of 2034311240 is 421134302.

It can be written as a sum of positive squares in 8 ways, for example, as 1212571684 + 821739556 = 34822^2 + 28666^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2034311249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229124 + ... + 237836.

Almost surely, 22034311240 is an apocalyptic number.

2034311240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034311240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470419000).

2034311240 is an abundant number, since it is smaller than the sum of its proper divisors (2906526760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2034311240 is a wasteful number, since it uses less digits than its factorization.

2034311240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9186 (or 9182 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2034311240 is about 45103.3395659346. The cubic root of 2034311240 is about 1267.0851455082.

Adding to 2034311240 its reverse (421134302), we get a palindrome (2455445542).

The spelling of 2034311240 in words is "two billion, thirty-four million, three hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 449 520 898 1796 2245 3592 4490 5837 8713 8980 11674 17426 17960 23348 29185 34852 43565 46696 58370 69704 87130 113269 116740 174260 226538 233480 348520 453076 566345 906152 1132690 2265380 3912137 4530760 7824274 15648548 19560685 31297096 39121370 50857781 78242740 101715562 156485480 203431124 254288905 406862248 508577810 1017155620 2034311240